please answer all parts of the question. and show all work

\#1 Let variables T represent being tall, H being heavy, and F being fast. Let's consider who is not tall as short, not heavy as light, and not fast as slow. Write a Boolean expression to represent each of the following: (a) You may ride a particular amusement park ride only if you are either tall and light, or short and heavy. (b) You may NOT ride an amusement park ride if you are either tall and light, or short and heavy. Use algebra to simplify the equation to sum of products. (c) You are eligible to play on a particular basketball team if you are tall and fhyt, or tall and slow. Simplify this equation. (d) You are NOT eligible to play on a particular football you are short and slow, or if you are light. Simplify to sum-of-products form. (e) You are eligible to play on both the basketball and football teams above, based on the above criteria. Hint: combine the two equations into one equation by ANDing them